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タイトル: | On the Semi-absoluteness of Isomorphisms between the Pro-$p$ Arithmetic Fundamental Groups of Smooth Varieties |
著者: | Tsujimura, Shota |
著者名の別形: | 辻村, 昇太 |
キーワード: | 14H30 14H25 Anabelian geometry étale fundamental group semi-absolute hyperbolic curve configuration space p-adic local field pro-p Grothendieck conjecture |
発行日: | 11-Oct-2023 |
出版者: | European Mathematical Society - EMS - Publishing House GmbH |
誌名: | Publications of the Research Institute for Mathematical Sciences |
巻: | 59 |
号: | 3 |
開始ページ: | 507 |
終了ページ: | 541 |
抄録: | Let p be a prime number. In the present paper, we consider a certain pro-p analogue of the semi-absoluteness of isomorphisms between the étale fundamental groups of smooth varieties over p-adic local fields [i.e., finite extensions of the field of p-adic numbers ℚp] obtained by Mochizuki. This research was motivated by Higashiyama’s recent work on the pro-p analogue of the semi-absolute version of the Grothendieck conjecture for configuration spaces [of dimension ≥2] associated to hyperbolic curves over generalized sub-p-adic fields [i.e., subfields of finitely generated extensions of the completion of the maximal unramified extension of ℚp]. |
著作権等: | © 2023 Research Institute for Mathematical Sciences, Kyoto University. This work is licensed under a CC BY 4.0 license. |
URI: | http://hdl.handle.net/2433/286955 |
DOI(出版社版): | 10.4171/prims/59-3-3 |
出現コレクション: | 学術雑誌掲載論文等 |
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